An Introduction to Subfactors in Mathematics and Physics

Algebraic quantum field theory, conformal field theory and scaling limits of statistical mechanical models. Hilbert spaces from planar algebras-a toy algebraic QFT and the Thompson groups. Knots and links from the Thompson groups. Vaughan F. R. JONES

Course Description
We will introduce the theory of subfactors and their interactions with topology and physics. We intend to describe the current state of classification of subfactors and attack the question of whether all subfactors have something to do with quantum field theory, including an appearance of Richard Thompson’s groups F and T.